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CUET · PHYSICS · PYQ PAPER 2025

A solenoid of length 30 cm and 3000 turns carries a current of 10 A. The value of the magnetic field (\( \vec{B} \)) at the centre of solenoid is: (Given \( \mu_0 = 4\pi \times 10^{-7} \text{ Wb/A-m} \))

  1. A \( 0.13 \text{ Wb/m}^2 \)
  2. B \( 1.256 \text{ Wb/m}^2 \)
  3. C \( 12.56 \text{ Wb/m}^2 \)
  4. D \( 0.628 \text{ Wb/m}^2 \)
Verified Solution

Answer & Solution

Correct Answer

(A) \( 0.13 \text{ Wb/m}^2 \)

Step-by-step Solution

Detailed explanation

\( B = \mu_0 \frac{N}{L} I \) \( B = (4\pi \times 10^{-7} \text{ Wb/A-m}) \times \frac{3000}{0.3 \text{ m}} \times (10 \text{ A}) \) \( B = 4\pi \times 10^{-2} \text{ Wb/m}^2 \) \( B \approx 0.13 \text{ Wb/m}^2 \)
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